Stock-Based Compensation - Restricted Stock Unit Activity - Tabular Disclosure (Details) - Restricted Stock Units (RSUs) - $ / shares	3 Months Ended		6 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022
Shares
Outstanding at beginning of period (in shares)			538,238
Restricted stocks granted (in shares)			572,111	228,468
Vested (in shares)			(261,618)
Forfeited (in shares)			(81,878)
Outstanding at end of period (in shares)	766,853		766,853
Weighted Average Grant-Date Fair Value
Outstanding at beginning of period (in dollars per share)			$ 71.99
Granted (in dollars per share)	$ 58.21	$ 82.34	58.21
Vested (in dollars per share)			55.66
Forfeited (in dollars per share)			78.66
Outstanding at end of period (in dollars per share)	$ 67.68		$ 67.68